(x+x/1)^2=4 eching

$$( x + \frac { x } { 1 } ) ^ { 2 } = 4$$

x uchun yechish

$$x=1$$

$$x=-1$$

Kvadratlar farqidan foydalangan qadamlar

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$\left(x+x\right)^{2}=4$$

2x ni olish uchun x va x ni birlashtirish.

$$\left(2x\right)^{2}=4$$

\left(2x\right)^{2} ni kengaytirish.

$$2^{2}x^{2}=4$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$4x^{2}=4$$

Ikkala tarafdan 4 ni ayirish.

$$4x^{2}-4=0$$

Ikki tarafini 4 ga bo‘ling.

$$x^{2}-1=0$$

Hisoblang: x^{2}-1. x^{2}-1 ni x^{2}-1^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(x-1\right)\left(x+1\right)=0$$

Tenglamani yechish uchun x-1=0 va x+1=0 ni yeching.

$$x=1 x=-1$$

Kvadrat ildizini topish bo'yicha qadamlar

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$\left(x+x\right)^{2}=4$$

2x ni olish uchun x va x ni birlashtirish.

$$\left(2x\right)^{2}=4$$

\left(2x\right)^{2} ni kengaytirish.

$$2^{2}x^{2}=4$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$4x^{2}=4$$

Ikki tarafini 4 ga bo‘ling.

$$x^{2}=\frac{4}{4}$$

1 ni olish uchun 4 ni 4 ga bo‘ling.

$$x^{2}=1$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=1 x=-1$$

Kvadrat tenglamalaridan foydalanish qoidalari

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$\left(x+x\right)^{2}=4$$

2x ni olish uchun x va x ni birlashtirish.

$$\left(2x\right)^{2}=4$$

\left(2x\right)^{2} ni kengaytirish.

$$2^{2}x^{2}=4$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$4x^{2}=4$$

Ikkala tarafdan 4 ni ayirish.

$$4x^{2}-4=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 4 ni a, 0 ni b va -4 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 4\left(-4\right)}}{2\times 4}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 4\left(-4\right)}}{2\times 4}$$

-4 ni 4 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-16\left(-4\right)}}{2\times 4}$$

-16 ni -4 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{64}}{2\times 4}$$

64 ning kvadrat ildizini chiqarish.

$$x=\frac{0±8}{2\times 4}$$

2 ni 4 marotabaga ko'paytirish.

$$x=\frac{0±8}{8}$$

x=\frac{0±8}{8} tenglamasini yeching, bunda ± musbat. 8 ni 8 ga bo'lish.

$$x=1$$

x=\frac{0±8}{8} tenglamasini yeching, bunda ± manfiy. -8 ni 8 ga bo'lish.

$$x=-1$$

Tenglama yechildi.

$$x=1 x=-1$$